New method of integration for the Dirac equation on a curved space-time

DOI10.1063/1.529600zbMath0765.53057OpenAlexW2086213040MaRDI QIDQ4027904

Vladislav G. Bagrov, Valery V. Obukhov

Publication date: 9 March 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529600

zbMATH Keywords

diagonalizationseparation of variables

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Applications of differential geometry to physics (53Z05)

Related Items (7)

Compatibility of symmetric quantization with general covariance in the Dirac equation and spin connections ⋮ Exact solutions in modified gravity models ⋮ Symmetry operators and separation of variables in the (2 + 1)-dimensional Dirac equation with external electromagnetic field ⋮ Exact models of pure radiation in R2 gravity for spatially homogeneous wave-like Shapovalov spacetimes type II ⋮ Integration of the Einstein–Dirac equations ⋮ Generally covariant Dirac Hamiltonian ⋮ Cosmological solution of the Einstein-Weyl equation

Cites Work

• Separation of variables in the Dirac equation in Stackel spaces
• Separation of variables and symmetry operators for the neutrino and Dirac equations in the space-times admitting a two-parameter abelian orthogonally transitive isometry group and a pair of shearfree geodesic null congruences
• Matrix operator symmetries of the Dirac equation and separation of variables

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